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R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Wed, 16 Dec 2009 14:04:46 -0700

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/16/t1260997657q6q1de1s20d4d03.htm/, Retrieved Thu, 12 Feb 2026 04:13:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=68606, Retrieved Thu, 12 Feb 2026 04:13:35 +0000

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User-defined keywords

KDGP2W21

Estimated Impact

340

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-       [(Partial) Autocorrelation Function] [] [2009-12-16 21:04:46] [5f2a9b4113a77186fe87c7e8e8c4c377] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68606&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68606&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68606&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
1	0.294681	3.1186	0.001155
2	0.007942	0.084	0.466584
3	-0.005439	-0.0576	0.4771
4	-0.078617	-0.832	0.203588
5	-0.239355	-2.5331	0.006345
6	-0.212427	-2.2481	0.013263
7	-0.097537	-1.0322	0.152092
8	-0.055793	-0.5905	0.278037
9	-0.124032	-1.3126	0.095995
10	0.1246	1.3186	0.09499
11	0.271923	2.8778	0.002399
12	0.041644	0.4407	0.330131
13	-0.140316	-1.485	0.070181
14	0.042779	0.4527	0.325809
15	0.051155	0.5414	0.294664
16	-0.098505	-1.0425	0.149717
17	-0.123231	-1.3042	0.097427
18	-0.113254	-1.1986	0.116613
19	-0.101942	-1.0789	0.141486
20	-0.131607	-1.3928	0.08322
21	0.03427	0.3627	0.358764
22	0.114322	1.2099	0.114438
23	0.080119	0.8479	0.199152
24	0.066204	0.7006	0.242491
25	0.236219	2.4999	0.006936
26	0.159837	1.6916	0.046756
27	0.001902	0.0201	0.491988
28	-0.11519	-1.2191	0.112693
29	-0.10588	-1.1205	0.132444
30	-0.114055	-1.207	0.114979
31	-0.075647	-0.8006	0.212536
32	-0.069674	-0.7374	0.231222
33	0.051355	0.5435	0.293937
34	0.001401	0.0148	0.494096
35	0.081721	0.8648	0.194485
36	0.172851	1.8293	0.035009
37	0.032935	0.3486	0.36404
38	-0.041311	-0.4372	0.331407
39	-0.076582	-0.8105	0.209696
40	-0.135878	-1.438	0.076611
41	-0.010044	-0.1063	0.457769
42	-0.067072	-0.7098	0.239646
43	-0.124366	-1.3162	0.095403
44	-0.063001	-0.6667	0.253156
45	-0.061032	-0.6459	0.259833
46	0.039042	0.4132	0.340133
47	0.101608	1.0753	0.142271
48	0.099973	1.058	0.146162

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.294681 & 3.1186 & 0.001155 \tabularnewline
2 & 0.007942 & 0.084 & 0.466584 \tabularnewline
3 & -0.005439 & -0.0576 & 0.4771 \tabularnewline
4 & -0.078617 & -0.832 & 0.203588 \tabularnewline
5 & -0.239355 & -2.5331 & 0.006345 \tabularnewline
6 & -0.212427 & -2.2481 & 0.013263 \tabularnewline
7 & -0.097537 & -1.0322 & 0.152092 \tabularnewline
8 & -0.055793 & -0.5905 & 0.278037 \tabularnewline
9 & -0.124032 & -1.3126 & 0.095995 \tabularnewline
10 & 0.1246 & 1.3186 & 0.09499 \tabularnewline
11 & 0.271923 & 2.8778 & 0.002399 \tabularnewline
12 & 0.041644 & 0.4407 & 0.330131 \tabularnewline
13 & -0.140316 & -1.485 & 0.070181 \tabularnewline
14 & 0.042779 & 0.4527 & 0.325809 \tabularnewline
15 & 0.051155 & 0.5414 & 0.294664 \tabularnewline
16 & -0.098505 & -1.0425 & 0.149717 \tabularnewline
17 & -0.123231 & -1.3042 & 0.097427 \tabularnewline
18 & -0.113254 & -1.1986 & 0.116613 \tabularnewline
19 & -0.101942 & -1.0789 & 0.141486 \tabularnewline
20 & -0.131607 & -1.3928 & 0.08322 \tabularnewline
21 & 0.03427 & 0.3627 & 0.358764 \tabularnewline
22 & 0.114322 & 1.2099 & 0.114438 \tabularnewline
23 & 0.080119 & 0.8479 & 0.199152 \tabularnewline
24 & 0.066204 & 0.7006 & 0.242491 \tabularnewline
25 & 0.236219 & 2.4999 & 0.006936 \tabularnewline
26 & 0.159837 & 1.6916 & 0.046756 \tabularnewline
27 & 0.001902 & 0.0201 & 0.491988 \tabularnewline
28 & -0.11519 & -1.2191 & 0.112693 \tabularnewline
29 & -0.10588 & -1.1205 & 0.132444 \tabularnewline
30 & -0.114055 & -1.207 & 0.114979 \tabularnewline
31 & -0.075647 & -0.8006 & 0.212536 \tabularnewline
32 & -0.069674 & -0.7374 & 0.231222 \tabularnewline
33 & 0.051355 & 0.5435 & 0.293937 \tabularnewline
34 & 0.001401 & 0.0148 & 0.494096 \tabularnewline
35 & 0.081721 & 0.8648 & 0.194485 \tabularnewline
36 & 0.172851 & 1.8293 & 0.035009 \tabularnewline
37 & 0.032935 & 0.3486 & 0.36404 \tabularnewline
38 & -0.041311 & -0.4372 & 0.331407 \tabularnewline
39 & -0.076582 & -0.8105 & 0.209696 \tabularnewline
40 & -0.135878 & -1.438 & 0.076611 \tabularnewline
41 & -0.010044 & -0.1063 & 0.457769 \tabularnewline
42 & -0.067072 & -0.7098 & 0.239646 \tabularnewline
43 & -0.124366 & -1.3162 & 0.095403 \tabularnewline
44 & -0.063001 & -0.6667 & 0.253156 \tabularnewline
45 & -0.061032 & -0.6459 & 0.259833 \tabularnewline
46 & 0.039042 & 0.4132 & 0.340133 \tabularnewline
47 & 0.101608 & 1.0753 & 0.142271 \tabularnewline
48 & 0.099973 & 1.058 & 0.146162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68606&T=1

[TABLE]
[ROW][C]Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]ACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.294681[/C][C]3.1186[/C][C]0.001155[/C][/ROW]
[ROW][C]2[/C][C]0.007942[/C][C]0.084[/C][C]0.466584[/C][/ROW]
[ROW][C]3[/C][C]-0.005439[/C][C]-0.0576[/C][C]0.4771[/C][/ROW]
[ROW][C]4[/C][C]-0.078617[/C][C]-0.832[/C][C]0.203588[/C][/ROW]
[ROW][C]5[/C][C]-0.239355[/C][C]-2.5331[/C][C]0.006345[/C][/ROW]
[ROW][C]6[/C][C]-0.212427[/C][C]-2.2481[/C][C]0.013263[/C][/ROW]
[ROW][C]7[/C][C]-0.097537[/C][C]-1.0322[/C][C]0.152092[/C][/ROW]
[ROW][C]8[/C][C]-0.055793[/C][C]-0.5905[/C][C]0.278037[/C][/ROW]
[ROW][C]9[/C][C]-0.124032[/C][C]-1.3126[/C][C]0.095995[/C][/ROW]
[ROW][C]10[/C][C]0.1246[/C][C]1.3186[/C][C]0.09499[/C][/ROW]
[ROW][C]11[/C][C]0.271923[/C][C]2.8778[/C][C]0.002399[/C][/ROW]
[ROW][C]12[/C][C]0.041644[/C][C]0.4407[/C][C]0.330131[/C][/ROW]
[ROW][C]13[/C][C]-0.140316[/C][C]-1.485[/C][C]0.070181[/C][/ROW]
[ROW][C]14[/C][C]0.042779[/C][C]0.4527[/C][C]0.325809[/C][/ROW]
[ROW][C]15[/C][C]0.051155[/C][C]0.5414[/C][C]0.294664[/C][/ROW]
[ROW][C]16[/C][C]-0.098505[/C][C]-1.0425[/C][C]0.149717[/C][/ROW]
[ROW][C]17[/C][C]-0.123231[/C][C]-1.3042[/C][C]0.097427[/C][/ROW]
[ROW][C]18[/C][C]-0.113254[/C][C]-1.1986[/C][C]0.116613[/C][/ROW]
[ROW][C]19[/C][C]-0.101942[/C][C]-1.0789[/C][C]0.141486[/C][/ROW]
[ROW][C]20[/C][C]-0.131607[/C][C]-1.3928[/C][C]0.08322[/C][/ROW]
[ROW][C]21[/C][C]0.03427[/C][C]0.3627[/C][C]0.358764[/C][/ROW]
[ROW][C]22[/C][C]0.114322[/C][C]1.2099[/C][C]0.114438[/C][/ROW]
[ROW][C]23[/C][C]0.080119[/C][C]0.8479[/C][C]0.199152[/C][/ROW]
[ROW][C]24[/C][C]0.066204[/C][C]0.7006[/C][C]0.242491[/C][/ROW]
[ROW][C]25[/C][C]0.236219[/C][C]2.4999[/C][C]0.006936[/C][/ROW]
[ROW][C]26[/C][C]0.159837[/C][C]1.6916[/C][C]0.046756[/C][/ROW]
[ROW][C]27[/C][C]0.001902[/C][C]0.0201[/C][C]0.491988[/C][/ROW]
[ROW][C]28[/C][C]-0.11519[/C][C]-1.2191[/C][C]0.112693[/C][/ROW]
[ROW][C]29[/C][C]-0.10588[/C][C]-1.1205[/C][C]0.132444[/C][/ROW]
[ROW][C]30[/C][C]-0.114055[/C][C]-1.207[/C][C]0.114979[/C][/ROW]
[ROW][C]31[/C][C]-0.075647[/C][C]-0.8006[/C][C]0.212536[/C][/ROW]
[ROW][C]32[/C][C]-0.069674[/C][C]-0.7374[/C][C]0.231222[/C][/ROW]
[ROW][C]33[/C][C]0.051355[/C][C]0.5435[/C][C]0.293937[/C][/ROW]
[ROW][C]34[/C][C]0.001401[/C][C]0.0148[/C][C]0.494096[/C][/ROW]
[ROW][C]35[/C][C]0.081721[/C][C]0.8648[/C][C]0.194485[/C][/ROW]
[ROW][C]36[/C][C]0.172851[/C][C]1.8293[/C][C]0.035009[/C][/ROW]
[ROW][C]37[/C][C]0.032935[/C][C]0.3486[/C][C]0.36404[/C][/ROW]
[ROW][C]38[/C][C]-0.041311[/C][C]-0.4372[/C][C]0.331407[/C][/ROW]
[ROW][C]39[/C][C]-0.076582[/C][C]-0.8105[/C][C]0.209696[/C][/ROW]
[ROW][C]40[/C][C]-0.135878[/C][C]-1.438[/C][C]0.076611[/C][/ROW]
[ROW][C]41[/C][C]-0.010044[/C][C]-0.1063[/C][C]0.457769[/C][/ROW]
[ROW][C]42[/C][C]-0.067072[/C][C]-0.7098[/C][C]0.239646[/C][/ROW]
[ROW][C]43[/C][C]-0.124366[/C][C]-1.3162[/C][C]0.095403[/C][/ROW]
[ROW][C]44[/C][C]-0.063001[/C][C]-0.6667[/C][C]0.253156[/C][/ROW]
[ROW][C]45[/C][C]-0.061032[/C][C]-0.6459[/C][C]0.259833[/C][/ROW]
[ROW][C]46[/C][C]0.039042[/C][C]0.4132[/C][C]0.340133[/C][/ROW]
[ROW][C]47[/C][C]0.101608[/C][C]1.0753[/C][C]0.142271[/C][/ROW]
[ROW][C]48[/C][C]0.099973[/C][C]1.058[/C][C]0.146162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68606&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68606&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
1	0.294681	3.1186	0.001155
2	0.007942	0.084	0.466584
3	-0.005439	-0.0576	0.4771
4	-0.078617	-0.832	0.203588
5	-0.239355	-2.5331	0.006345
6	-0.212427	-2.2481	0.013263
7	-0.097537	-1.0322	0.152092
8	-0.055793	-0.5905	0.278037
9	-0.124032	-1.3126	0.095995
10	0.1246	1.3186	0.09499
11	0.271923	2.8778	0.002399
12	0.041644	0.4407	0.330131
13	-0.140316	-1.485	0.070181
14	0.042779	0.4527	0.325809
15	0.051155	0.5414	0.294664
16	-0.098505	-1.0425	0.149717
17	-0.123231	-1.3042	0.097427
18	-0.113254	-1.1986	0.116613
19	-0.101942	-1.0789	0.141486
20	-0.131607	-1.3928	0.08322
21	0.03427	0.3627	0.358764
22	0.114322	1.2099	0.114438
23	0.080119	0.8479	0.199152
24	0.066204	0.7006	0.242491
25	0.236219	2.4999	0.006936
26	0.159837	1.6916	0.046756
27	0.001902	0.0201	0.491988
28	-0.11519	-1.2191	0.112693
29	-0.10588	-1.1205	0.132444
30	-0.114055	-1.207	0.114979
31	-0.075647	-0.8006	0.212536
32	-0.069674	-0.7374	0.231222
33	0.051355	0.5435	0.293937
34	0.001401	0.0148	0.494096
35	0.081721	0.8648	0.194485
36	0.172851	1.8293	0.035009
37	0.032935	0.3486	0.36404
38	-0.041311	-0.4372	0.331407
39	-0.076582	-0.8105	0.209696
40	-0.135878	-1.438	0.076611
41	-0.010044	-0.1063	0.457769
42	-0.067072	-0.7098	0.239646
43	-0.124366	-1.3162	0.095403
44	-0.063001	-0.6667	0.253156
45	-0.061032	-0.6459	0.259833
46	0.039042	0.4132	0.340133
47	0.101608	1.0753	0.142271
48	0.099973	1.058	0.146162

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	0.294681	3.1186	0.001155
2	-0.086398	-0.9143	0.18125
3	0.019284	0.2041	0.419329
4	-0.090302	-0.9557	0.17065
5	-0.209478	-2.2169	0.014325
6	-0.098458	-1.042	0.149832
7	-0.031562	-0.334	0.369494
8	-0.042146	-0.446	0.328218
9	-0.145807	-1.5431	0.062817
10	0.159175	1.6846	0.04743
11	0.145277	1.5375	0.063499
12	-0.127578	-1.3502	0.089843
13	-0.177354	-1.8769	0.031564
14	0.099865	1.0569	0.146422
15	0.049264	0.5214	0.301571
16	-0.058528	-0.6194	0.268455
17	-0.08003	-0.847	0.199413
18	-0.149107	-1.578	0.058693
19	-0.019576	-0.2072	0.418126
20	-0.064987	-0.6878	0.246513
21	0.001665	0.0176	0.492984
22	-0.050243	-0.5317	0.297985
23	0.077279	0.8178	0.20759
24	0.056545	0.5984	0.275387
25	0.119962	1.2696	0.103436
26	-0.015487	-0.1639	0.435053
27	0.003271	0.0346	0.486221
28	-0.046488	-0.492	0.311847
29	-0.016324	-0.1728	0.431575
30	0.01488	0.1575	0.437578
31	0.020033	0.212	0.416241
32	-0.073202	-0.7747	0.220075
33	0.041855	0.443	0.329326
34	-0.031839	-0.337	0.368392
35	0.048485	0.5131	0.304441
36	0.046064	0.4875	0.313431
37	-0.117925	-1.248	0.107317
38	0.029295	0.31	0.378557
39	-0.023097	-0.2444	0.403669
40	-0.099859	-1.0568	0.146437
41	0.099324	1.0511	0.147727
42	-0.061794	-0.654	0.257237
43	-0.087017	-0.9209	0.179539
44	-0.020472	-0.2167	0.414435
45	-0.079519	-0.8416	0.200915
46	-0.000223	-0.0024	0.499062
47	-0.000506	-0.0054	0.497867
48	0.025818	0.2732	0.392587

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.294681 & 3.1186 & 0.001155 \tabularnewline
2 & -0.086398 & -0.9143 & 0.18125 \tabularnewline
3 & 0.019284 & 0.2041 & 0.419329 \tabularnewline
4 & -0.090302 & -0.9557 & 0.17065 \tabularnewline
5 & -0.209478 & -2.2169 & 0.014325 \tabularnewline
6 & -0.098458 & -1.042 & 0.149832 \tabularnewline
7 & -0.031562 & -0.334 & 0.369494 \tabularnewline
8 & -0.042146 & -0.446 & 0.328218 \tabularnewline
9 & -0.145807 & -1.5431 & 0.062817 \tabularnewline
10 & 0.159175 & 1.6846 & 0.04743 \tabularnewline
11 & 0.145277 & 1.5375 & 0.063499 \tabularnewline
12 & -0.127578 & -1.3502 & 0.089843 \tabularnewline
13 & -0.177354 & -1.8769 & 0.031564 \tabularnewline
14 & 0.099865 & 1.0569 & 0.146422 \tabularnewline
15 & 0.049264 & 0.5214 & 0.301571 \tabularnewline
16 & -0.058528 & -0.6194 & 0.268455 \tabularnewline
17 & -0.08003 & -0.847 & 0.199413 \tabularnewline
18 & -0.149107 & -1.578 & 0.058693 \tabularnewline
19 & -0.019576 & -0.2072 & 0.418126 \tabularnewline
20 & -0.064987 & -0.6878 & 0.246513 \tabularnewline
21 & 0.001665 & 0.0176 & 0.492984 \tabularnewline
22 & -0.050243 & -0.5317 & 0.297985 \tabularnewline
23 & 0.077279 & 0.8178 & 0.20759 \tabularnewline
24 & 0.056545 & 0.5984 & 0.275387 \tabularnewline
25 & 0.119962 & 1.2696 & 0.103436 \tabularnewline
26 & -0.015487 & -0.1639 & 0.435053 \tabularnewline
27 & 0.003271 & 0.0346 & 0.486221 \tabularnewline
28 & -0.046488 & -0.492 & 0.311847 \tabularnewline
29 & -0.016324 & -0.1728 & 0.431575 \tabularnewline
30 & 0.01488 & 0.1575 & 0.437578 \tabularnewline
31 & 0.020033 & 0.212 & 0.416241 \tabularnewline
32 & -0.073202 & -0.7747 & 0.220075 \tabularnewline
33 & 0.041855 & 0.443 & 0.329326 \tabularnewline
34 & -0.031839 & -0.337 & 0.368392 \tabularnewline
35 & 0.048485 & 0.5131 & 0.304441 \tabularnewline
36 & 0.046064 & 0.4875 & 0.313431 \tabularnewline
37 & -0.117925 & -1.248 & 0.107317 \tabularnewline
38 & 0.029295 & 0.31 & 0.378557 \tabularnewline
39 & -0.023097 & -0.2444 & 0.403669 \tabularnewline
40 & -0.099859 & -1.0568 & 0.146437 \tabularnewline
41 & 0.099324 & 1.0511 & 0.147727 \tabularnewline
42 & -0.061794 & -0.654 & 0.257237 \tabularnewline
43 & -0.087017 & -0.9209 & 0.179539 \tabularnewline
44 & -0.020472 & -0.2167 & 0.414435 \tabularnewline
45 & -0.079519 & -0.8416 & 0.200915 \tabularnewline
46 & -0.000223 & -0.0024 & 0.499062 \tabularnewline
47 & -0.000506 & -0.0054 & 0.497867 \tabularnewline
48 & 0.025818 & 0.2732 & 0.392587 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68606&T=2

[TABLE]
[ROW][C]Partial Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]PACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.294681[/C][C]3.1186[/C][C]0.001155[/C][/ROW]
[ROW][C]2[/C][C]-0.086398[/C][C]-0.9143[/C][C]0.18125[/C][/ROW]
[ROW][C]3[/C][C]0.019284[/C][C]0.2041[/C][C]0.419329[/C][/ROW]
[ROW][C]4[/C][C]-0.090302[/C][C]-0.9557[/C][C]0.17065[/C][/ROW]
[ROW][C]5[/C][C]-0.209478[/C][C]-2.2169[/C][C]0.014325[/C][/ROW]
[ROW][C]6[/C][C]-0.098458[/C][C]-1.042[/C][C]0.149832[/C][/ROW]
[ROW][C]7[/C][C]-0.031562[/C][C]-0.334[/C][C]0.369494[/C][/ROW]
[ROW][C]8[/C][C]-0.042146[/C][C]-0.446[/C][C]0.328218[/C][/ROW]
[ROW][C]9[/C][C]-0.145807[/C][C]-1.5431[/C][C]0.062817[/C][/ROW]
[ROW][C]10[/C][C]0.159175[/C][C]1.6846[/C][C]0.04743[/C][/ROW]
[ROW][C]11[/C][C]0.145277[/C][C]1.5375[/C][C]0.063499[/C][/ROW]
[ROW][C]12[/C][C]-0.127578[/C][C]-1.3502[/C][C]0.089843[/C][/ROW]
[ROW][C]13[/C][C]-0.177354[/C][C]-1.8769[/C][C]0.031564[/C][/ROW]
[ROW][C]14[/C][C]0.099865[/C][C]1.0569[/C][C]0.146422[/C][/ROW]
[ROW][C]15[/C][C]0.049264[/C][C]0.5214[/C][C]0.301571[/C][/ROW]
[ROW][C]16[/C][C]-0.058528[/C][C]-0.6194[/C][C]0.268455[/C][/ROW]
[ROW][C]17[/C][C]-0.08003[/C][C]-0.847[/C][C]0.199413[/C][/ROW]
[ROW][C]18[/C][C]-0.149107[/C][C]-1.578[/C][C]0.058693[/C][/ROW]
[ROW][C]19[/C][C]-0.019576[/C][C]-0.2072[/C][C]0.418126[/C][/ROW]
[ROW][C]20[/C][C]-0.064987[/C][C]-0.6878[/C][C]0.246513[/C][/ROW]
[ROW][C]21[/C][C]0.001665[/C][C]0.0176[/C][C]0.492984[/C][/ROW]
[ROW][C]22[/C][C]-0.050243[/C][C]-0.5317[/C][C]0.297985[/C][/ROW]
[ROW][C]23[/C][C]0.077279[/C][C]0.8178[/C][C]0.20759[/C][/ROW]
[ROW][C]24[/C][C]0.056545[/C][C]0.5984[/C][C]0.275387[/C][/ROW]
[ROW][C]25[/C][C]0.119962[/C][C]1.2696[/C][C]0.103436[/C][/ROW]
[ROW][C]26[/C][C]-0.015487[/C][C]-0.1639[/C][C]0.435053[/C][/ROW]
[ROW][C]27[/C][C]0.003271[/C][C]0.0346[/C][C]0.486221[/C][/ROW]
[ROW][C]28[/C][C]-0.046488[/C][C]-0.492[/C][C]0.311847[/C][/ROW]
[ROW][C]29[/C][C]-0.016324[/C][C]-0.1728[/C][C]0.431575[/C][/ROW]
[ROW][C]30[/C][C]0.01488[/C][C]0.1575[/C][C]0.437578[/C][/ROW]
[ROW][C]31[/C][C]0.020033[/C][C]0.212[/C][C]0.416241[/C][/ROW]
[ROW][C]32[/C][C]-0.073202[/C][C]-0.7747[/C][C]0.220075[/C][/ROW]
[ROW][C]33[/C][C]0.041855[/C][C]0.443[/C][C]0.329326[/C][/ROW]
[ROW][C]34[/C][C]-0.031839[/C][C]-0.337[/C][C]0.368392[/C][/ROW]
[ROW][C]35[/C][C]0.048485[/C][C]0.5131[/C][C]0.304441[/C][/ROW]
[ROW][C]36[/C][C]0.046064[/C][C]0.4875[/C][C]0.313431[/C][/ROW]
[ROW][C]37[/C][C]-0.117925[/C][C]-1.248[/C][C]0.107317[/C][/ROW]
[ROW][C]38[/C][C]0.029295[/C][C]0.31[/C][C]0.378557[/C][/ROW]
[ROW][C]39[/C][C]-0.023097[/C][C]-0.2444[/C][C]0.403669[/C][/ROW]
[ROW][C]40[/C][C]-0.099859[/C][C]-1.0568[/C][C]0.146437[/C][/ROW]
[ROW][C]41[/C][C]0.099324[/C][C]1.0511[/C][C]0.147727[/C][/ROW]
[ROW][C]42[/C][C]-0.061794[/C][C]-0.654[/C][C]0.257237[/C][/ROW]
[ROW][C]43[/C][C]-0.087017[/C][C]-0.9209[/C][C]0.179539[/C][/ROW]
[ROW][C]44[/C][C]-0.020472[/C][C]-0.2167[/C][C]0.414435[/C][/ROW]
[ROW][C]45[/C][C]-0.079519[/C][C]-0.8416[/C][C]0.200915[/C][/ROW]
[ROW][C]46[/C][C]-0.000223[/C][C]-0.0024[/C][C]0.499062[/C][/ROW]
[ROW][C]47[/C][C]-0.000506[/C][C]-0.0054[/C][C]0.497867[/C][/ROW]
[ROW][C]48[/C][C]0.025818[/C][C]0.2732[/C][C]0.392587[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68606&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68606&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	0.294681	3.1186	0.001155
2	-0.086398	-0.9143	0.18125
3	0.019284	0.2041	0.419329
4	-0.090302	-0.9557	0.17065
5	-0.209478	-2.2169	0.014325
6	-0.098458	-1.042	0.149832
7	-0.031562	-0.334	0.369494
8	-0.042146	-0.446	0.328218
9	-0.145807	-1.5431	0.062817
10	0.159175	1.6846	0.04743
11	0.145277	1.5375	0.063499
12	-0.127578	-1.3502	0.089843
13	-0.177354	-1.8769	0.031564
14	0.099865	1.0569	0.146422
15	0.049264	0.5214	0.301571
16	-0.058528	-0.6194	0.268455
17	-0.08003	-0.847	0.199413
18	-0.149107	-1.578	0.058693
19	-0.019576	-0.2072	0.418126
20	-0.064987	-0.6878	0.246513
21	0.001665	0.0176	0.492984
22	-0.050243	-0.5317	0.297985
23	0.077279	0.8178	0.20759
24	0.056545	0.5984	0.275387
25	0.119962	1.2696	0.103436
26	-0.015487	-0.1639	0.435053
27	0.003271	0.0346	0.486221
28	-0.046488	-0.492	0.311847
29	-0.016324	-0.1728	0.431575
30	0.01488	0.1575	0.437578
31	0.020033	0.212	0.416241
32	-0.073202	-0.7747	0.220075
33	0.041855	0.443	0.329326
34	-0.031839	-0.337	0.368392
35	0.048485	0.5131	0.304441
36	0.046064	0.4875	0.313431
37	-0.117925	-1.248	0.107317
38	0.029295	0.31	0.378557
39	-0.023097	-0.2444	0.403669
40	-0.099859	-1.0568	0.146437
41	0.099324	1.0511	0.147727
42	-0.061794	-0.654	0.257237
43	-0.087017	-0.9209	0.179539
44	-0.020472	-0.2167	0.414435
45	-0.079519	-0.8416	0.200915
46	-0.000223	-0.0024	0.499062
47	-0.000506	-0.0054	0.497867
48	0.025818	0.2732	0.392587

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

Parameters (R input):

par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

R code (references can be found in the software module):

if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
par7 <- as.numeric(par7)
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep=''))
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code